Fluctuation theorem in quantum heat conduction

Details Fluctuation theorem in quantum heat conduction Fluctuation theorem in quantum heat conduction

2007-03-29

arxiv.org/abs/cond-mat/0703777v2

Physical Review Letters vol.99 180601 (2007)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures

Scientific paper

We consider steady state heat conduction across a quantum harmonic chain connected to reservoirs modelled by infinite collection of oscillators. The heat, $Q$, flowing across the oscillator in a time interval $\tau$ is a stochastic variable and we study the probability distribution function $P(Q)$. In the large $\tau$ limit we use the formalism of full counting statistics (FCS) to compute the generating function of $P(Q)$ exactly. We show that $P(Q)$ satisfies the steady state fluctuation theorem (SSFT) regardless of the specifics of system, and it is nongaussian with clear exponential tails. The effect of finite $\tau$ and nonlinearity is considered in the classical limit through Langevin simulations. We also obtain predictions of universal heat current fluctuations at low temperatures in clean wires.

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